Question about cutting.

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Is doing a sustained prolonged calorie deficit really the best way to go about losing body-fat?

Say maintenance calories are 2,600 and you want 150g+ protein per day. Why not just do something like the following...

>Monday - 1500 (-1,100 deficit)
>Tuesday - 1300 (-1,300 deficit)
>Wednesday - 1200 (-1400 deficit)
>Thursday - 2000 (-500 deficit)
>Friday - 2550-2600 (maintenance)
>Saturday - 2550-2600 (maintenance)
>Sunday - 2550-2600 (maintenance)

Total deficit for the week = 4,300 calories , or 1.22 lbs of bodyfat, and you only spent 3 days on really low calories, and 1 day on moderate calories, and 3 days on FRI/SAT/SUN @ maintenance calories. If you moderate your fat in-take on those 3 days at maintenance and eat more carbs over fat, you could even improve body-composition even more.

Cutting is easy at the start, and gets harder the longer you do it, so why not just do 3-4 days of aggressive cutting, getting as high as a deficit as possible, then just return to maintenance calories.

Please tell me why nobody has ever mentioned cutting like this?